Question

Identify the number that will replace the question mark in the second equation based on the relationship represented in the first equation.

• A. 420
• B. 92
• C. 138
• D. 456

Answer 1

The Correct Option is C

The calculated result is 138.

The governing formula is \(a^2 + b^3 + c^4\), where \(a\), \(b\), and \(c\) represent the numbers within the nested boxes, from the outermost to the innermost, respectively.

First Circle Calculation: \(a = 2\), \(b = 3\), \(c = 4\)
Applying the formula:

\(a^2 + b^3 + c^4 = 2^2 + 3^3 + 4^4 = 4 + 27 + 256 = 287\)

Second Circle Calculation: \(a = 7\), \(b = 2\), \(c = 3\)
Applying the formula:

\(a^2 + b^3 + c^4 = 7^2 + 2^3 + 3^4 = 49 + 8 + 81 = 138\)

The final answer is 138.